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Uniqueness of equilibrium in two-player asymmetric Tullock contests with intermediate discriminatory power

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  • Feng, Xin
  • Lu, Jingfeng

Abstract

This paper provides a different approach to establish the uniqueness of equilibrium in Tullock contests between two players with asymmetric valuations, when the discriminatory power r is between 1 and 2. Our result complements that of Ewerhart (2017) in filling up the remaining gap in the literature on the uniqueness of equilibrium in two-player asymmetric Tullock contests.

Suggested Citation

  • Feng, Xin & Lu, Jingfeng, 2017. "Uniqueness of equilibrium in two-player asymmetric Tullock contests with intermediate discriminatory power," Economics Letters, Elsevier, vol. 159(C), pages 61-64.
    • Handle: RePEc:eee:ecolet:v:159:y:2017:i:c:p:61-64
    DOI: 10.1016/j.econlet.2017.07.017
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    References listed on IDEAS

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    16. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Paul Pecorino, 2020. "Bridge burning and escape routes," Public Choice, Springer, vol. 184(3), pages 399-414, September.
    2. Laica, Christoph & Lauber, Arne & Sahm, Marco, 2021. "Sequential round-robin tournaments with multiple prizes," Games and Economic Behavior, Elsevier, vol. 129(C), pages 421-448.
    3. Fu, Qiang & Wang, Xiruo & Wu, Zenan, 2021. "Multi-prize contests with risk-averse players," Games and Economic Behavior, Elsevier, vol. 129(C), pages 513-535.
    4. Barbieri, Stefano & Serena, Marco, 2024. "Winner's effort in multi-battle team contests," Games and Economic Behavior, Elsevier, vol. 145(C), pages 526-556.
    5. Feng, Xin & Lu, Jingfeng, 2018. "How to split the pie: Optimal rewards in dynamic multi-battle competitions," Journal of Public Economics, Elsevier, vol. 160(C), pages 82-95.
    6. Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2022. "On equilibrium existence in generalized multi-prize nested lottery contests," Journal of Economic Theory, Elsevier, vol. 200(C).
    7. Christian Ewerhart, 2021. "A typology of military conflict based on the Hirshleifer contest," ECON - Working Papers 400, Department of Economics - University of Zurich.
    8. Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2023. "On equilibrium uniqueness in generalized multi-prize nested lottery contests," Games and Economic Behavior, Elsevier, vol. 139(C), pages 180-199.
    9. Zhang, Ming & Wang, Guanghui & Xu, Jin & Qu, Cunquan, 2020. "Dynamic contest model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    10. Christian Ewerhart & Guang-Zhen Sun, 2018. "Equilibrium in the symmetric Hirshleifer contest: uniqueness and characterization," ECON - Working Papers 286, Department of Economics - University of Zurich.
    11. Barbieri, Stefano & Serena, Marco, 2022. "Biasing dynamic contests between ex-ante symmetric players," Games and Economic Behavior, Elsevier, vol. 136(C), pages 1-30.
    12. Craig A. Depken II & John M. Gandar & Dmitry A. Shapiro, 2022. "Set-level Strategic and Psychological Momentum in Best-of-three-set Professional Tennis Matches," Journal of Sports Economics, , vol. 23(5), pages 598-623, June.
    13. Jingfeng Lu & Zhewei Wang & Lixue Zhou, 2023. "Nested Tullock contests with nonmonotone prizes," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 303-332, March.

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    More about this item

    Keywords

    Asymmetric players; Discriminatory power; Tullock contests; Two-player contests; Uniqueness of equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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